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Finding the Third Proportional to 150,058.69 and 228,899.25

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Solution

The third proportional to 150,058.69 and 228,899.25 is: 349,162.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,058.69 : 228,899.25 = 228,899.25 : x
  2. Step 2: Convert to fraction form
    150,058.69/228,899.25 = 228,899.25/x
  3. Step 3: Cross multiply
    150,058.69x = 228,899.25 × 228,899.25
  4. Step 4: Simplify right side
    150,058.69x = 52,394,866,650.56
  5. Step 5: Solve for x
    x = 52,394,866,650.56/150,058.69
  6. Step 6: Final answer
    x = 349,162.50

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.